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106005031326 = 23217346421671
BaseRepresentation
bin110001010111001100…
…1000110100110011110
3101010121200011112121100
41202232121012212132
53214044242000301
6120410435413530
710441621620315
oct1425631064636
9333550145540
10106005031326
1140a58093007
1218664a542a6
139cc494a60c
1451b87bd27c
152b56518286
hex18ae64699e

106005031326 has 24 divisors (see below), whose sum is σ = 243188013744. Its totient is φ = 33256480320.

The previous prime is 106005031313. The next prime is 106005031337. The reversal of 106005031326 is 623130500601.

106005031326 is a `hidden beast` number, since 1 + 0 + 600 + 5 + 0 + 31 + 3 + 26 = 666.

It is a super-2 number, since 2×1060050313262 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106005031326.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173210530 + ... + 173211141.

It is an arithmetic number, because the mean of its divisors is an integer number (10132833906).

Almost surely, 2106005031326 is an apocalyptic number.

106005031326 is an abundant number, since it is smaller than the sum of its proper divisors (137182982418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106005031326 is a wasteful number, since it uses less digits than its factorization.

106005031326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346421696 (or 346421693 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 106005031326 its reverse (623130500601), we get a palindrome (729135531927).

The spelling of 106005031326 in words is "one hundred six billion, five million, thirty-one thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 346421671 692843342 1039265013 2078530026 3117795039 5889168407 6235590078 11778336814 17667505221 35335010442 53002515663 106005031326